Inverse finite element vibration problems

被引：24

作者：

Gladwell, GML ^{[1
]}

机构：

[1] Univ Waterloo, Dept Civil Engn, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF SOUND AND VIBRATION | 1999年 / 221卷 / 02期

关键词：

D O I：

10.1006/jsvi.1998.2011

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The paper concerns the reconstruction of a consistent FEM model of an in-line system of 2-dof elements, fixed at one end and free at the other. Such a system has tridiagonal stiffness and mass matrices, K, M. Because each element has one rigid body mode, K has negative codiagonal and is constrained to have a particular form. M has positive codiagonal. It is shown how to construct (an infinite family of) such models so that each has a specified undamped frequency response at the free end, and how to construct a system with a damper at the free end so that the system has specified (complex) eigenvalues. (C) 1999 Academic Press.

引用

页码：309 / 324

页数：16

共 18 条

[1]

BISHOP RED, 1965, MATRIX ANAL VIBRATIO

[2] A SURVEY OF MATRIX INVERSE EIGENVALUE PROBLEMS [J].

BOLEY, D ;

GOLUB, GH .

INVERSE PROBLEMS, 1987, 3 (04) :595-622

[3]

Friswell M., 1995, FINITE ELEMENT MODEL, V38

[4]

Gladwell G., 1986, Inverse Problems in Vibration

[5]

GLADWELL G. M. L., 1996, Appl. Mech. Rev., V49, pS25

[6] GENERIC ELEMENT MATRICES SUITABLE FOR FINITE-ELEMENT MODEL UPDATING [J].

GLADWELL, GML ;

AHMADIAN, H .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1995, 9 (06) :601-614

[7] THE RECONSTRUCTION OF A TRIDIAGONAL SYSTEM FROM ITS FREQUENCY-RESPONSE AT AN INTERIOR POINT [J].

GLADWELL, GML ;

WILLMS, NB .

INVERSE PROBLEMS, 1988, 4 (04) :1013-1024

[8] Inverse vibration problems for finite-element models [J].

Gladwell, GML .

INVERSE PROBLEMS, 1997, 13 (02) :311-322

[9] ON ISOSPECTRAL SPRING-MASS SYSTEMS [J].

GLADWELL, GML .

INVERSE PROBLEMS, 1995, 11 (03) :591-602

[10]

GNTMAKHER FP, 1950, OSCILLATION MATRICES

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